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Simplifying 5 + -2(2x + 3) = x + -6 Reorder the terms: 5 + -2(3 + 2x) = x + -6 5 + (3 * -2 + 2x * -2) = x + -6 5 + (-6 + -4x) = x + -6 Combine like terms: 5 + -6 = -1 -1 + -4x = x + -6 Reorder the terms: -1 + -4x = -6 + x Solving -1 + -4x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -4x + -1x = -6 + x + -1x Combine like terms: -4x + -1x = -5x -1 + -5x = -6 + x + -1x Combine like terms: x + -1x = 0 -1 + -5x = -6 + 0 -1 + -5x = -6 Add '1' to each side of the equation. -1 + 1 + -5x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = -6 + 1 -5x = -6 + 1 Combine like terms: -6 + 1 = -5 -5x = -5 Divide each side by '-5'. x = 1 Simplifying x = 1
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